Motivated by this, we extend the theory of noncommutative differential forms by Connes [1]}, Cuntz-Quillen [2]}, Ginzburg [3]} to the context of near-rings. The main idea is that, every element in the near-ring \(\widetilde{A}\) , which is interpreted as a program written in the language of \(\widetilde{A}\) , produces a family of maps on the framing space \(F\)  over the moduli of machines \([R/G]\) , that is, each machine in \([R/G]\)  performs a computation \(F \rightarrow F\)  specified by the program. This statement naturally extends to differential forms.
